9910  Berichtsreihe des Mathematischen Seminars der Universität Kiel  
Detlef Bargmann, Walter Bergweiler:Periodic points and normal familiesLet F be the family of all functions which are holomorphic in some domain and do not have periodic points of some period greater than one there. It is shown that F is quasinormal, and the sequences in F which do not have convergent subsequences are characterized. The method also yields a new proof of the result that transcendental entire functions have infinitely many periodic points of all periods greater than one.Mathematics Subject Classification (1991): 30D05, 30D45, 58F23
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